Continuum Theory of Inhomogeneities in Simple Bodies

A Reprint of Six Memoirs

W. Noll, R. A. Toupin, C. C. Wang (Autoren)

Buch | Softcover

VII, 180 Seiten

2012 | 1. Softcover reprint of the original 1st ed. 1968
Springer Berlin (Verlag)
978-3-642-85994-6 (ISBN)

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The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con tinuous field of strain does not correspond, globally, to a continuous field of dis placement. The configuration of the body so obtained, even when that body is free of all load, is subject to interior stress that does not vanish, and in general no deformation of the body as a wh oIe can bring it into a stress-free configuration. Nevertheless, if any sufficiently sm all part of the body is considered by itself, a configuration for it in which the stress is everywhere zero may be found at once. In this work constitutiL"e assumptions provide the basic data. These consist in prescribed stress-free configurations for each material point and in prescribed elastic moduli governing the response to deformation from the stress-free configuration at each material point. Everything follows from these data, ineluding the dislocations present, if any. In particular, the common boundary-value problems of linear elasticity may be set and solved for the dislocated body.

Inhomogeneities in Materially Uniform Simple Bodies.- Dislocated and Oriented Media.- A Mathematical Theory of the Mechanical Behavior of Continuous Media.- Materially Uniform Simple Bodies with Inhomogeneities.- On the Geometric Structures of Simple Bodies, a Mathematical Foundation for the Theory of Continuous Distributions of Dislocations.- Universal Solutions for Incompressible Laminated Bodies.

Erscheint lt. Verlag	12.6.2012
Vorwort	C. Truesdell
Zusatzinfo	VII, 180 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	341 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Schlagworte	continuous media • Deformation • Elasticity • Liana • Mechanics • Solution
ISBN-10	3-642-85994-1 / 3642859941
ISBN-13	978-3-642-85994-6 / 9783642859946
Zustand	Neuware